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Escape through a time-dependent hole in the doubling map

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dc.contributor.authorLivorati, Andre L. P.
dc.contributor.authorGeorgiou, Orestis
dc.contributor.authorDettmann, Carl P.
dc.contributor.authorLeonel, Edson D. [UNESP]
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniv Bristol
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-12-03T13:11:25Z
dc.date.available2014-12-03T13:11:25Z
dc.date.issued2014-05-23
dc.description.abstractWe investigate the escape dynamics of the doubling map with a time-periodic hole. Ulam's method was used to calculate the escape rate as a function of the control parameters. We consider two cases, oscillating or breathing holes, where the sides of the hole are moving in or out of phase respectively. We find out that the escape rate is well described by the overlap of the hole with its images, for holes centered at periodic orbits.en
dc.description.affiliationUniv Sao Paulo, Inst Fis, IFUSP, BR-05314970 Sao Paulo, Brazil
dc.description.affiliationUniv Bristol, Sch Math, Bristol BS8 1TW, Avon, England
dc.description.affiliationUniv Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCenter for Scientific Computing (NCC/GridUNESP) of the Sao Paulo State University (UNESP)
dc.description.sponsorshipIdCAPES: 0287-13-0
dc.description.sponsorshipIdFAPESP: 12/23688-5
dc.format.extent8
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.89.052913
dc.identifier.citationPhysical Review E. College Pk: Amer Physical Soc, v. 89, n. 5, 8 p., 2014.
dc.identifier.doi10.1103/PhysRevE.89.052913
dc.identifier.fileWOS000336765000007.pdf
dc.identifier.issn1539-3755
dc.identifier.lattes6130644232718610
dc.identifier.urihttp://hdl.handle.net/11449/113120
dc.identifier.wosWOS:000336765000007
dc.language.isoeng
dc.publisherAmer Physical Soc
dc.relation.ispartofPhysical Review E
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.titleEscape through a time-dependent hole in the doubling mapen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
dcterms.rightsHolderAmer Physical Soc
dspace.entity.typePublication
unesp.author.lattes6130644232718610
unesp.author.orcid0000-0001-8224-3329[4]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentFísica - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas